Classify the function as continuous or discontinuous. If the function is not continuous, identify the point(s)of
discontinuity.
-$$f ( x ) = \frac { 5 x + 2 } { x ^ { 2 } + 4 }$$
A)continuous
B)discontinuous at x = -2 and x = 2
C) $\text { discontinuous at } x = - 2 , x = 2 \text { and } x = \frac { 2 } { 5 }$
D)discontinuous at x = 4

Question

Quizplus · Accepted Answer

The function $\frac{5x+2}{x^2+4}$ is continuous everywhere because the denominator $x^2+4$ never equals zero for any real value of $x$. The quadratic expression $x^2+4$ is always positive, so there are no points of discontinuity.

Classify the Function as Continuous or Discontinuous f(x)=5x+2x2+4f ( x ) = \frac { 5 x + 2 } { x ^ { 2 } + 4 }f(x)=x2+45x+2​

Classify the Function as Continuous or Discontinuous $f ( x ) = \frac { 5 x + 2 } { x ^ { 2 } + 4 }$